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Finding the Fourth Proportional to 11,580.32, 17,361.84 and 5,422.88

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Solution

The fourth proportional to 11,580.32, 17,361.84 and 5,422.88 is: 8,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.32 : 17,361.84 = 5,422.88 : x
  2. Step 2: Convert to fraction form
    11,580.32/17,361.84 = 5,422.88/x
  3. Step 3: Cross multiply
    11,580.32x = 17,361.84 × 5,422.88
  4. Step 4: Simplify right side
    11,580.32x = 94,151,174.90
  5. Step 5: Solve for x
    x = 94,151,174.90/11,580.32
  6. Step 6: Final answer
    x = 8,130.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.